• In ΔABC shown below, Line segment AB is congruent to Line segment BC: Triangle ABC, where sides AB and CB are congruent Given: line segment AB≅line segment BC Prove: The base angles of an isosceles triangle are congruent. The two-column proof with missing statement proves the base angles of an isosceles triangle are congruent: Statement Reason 1. segment BD is an angle bisector of ∠ABC. 1. by Construction 2. ∠ABD ≅ ∠CBD 2. Definition of an Angle Bisector 3. 3. Reflexive Property 4. ΔABD ≅ ΔCBD 4. Side-Angle-Side (SAS) Postulate 5. ∠BAC ≅ ∠BCA 5. CPCTC Which statement can be used to fill in the numbered blank space? line segment BD ≅ line segment AC line segment BD ≅ line segment BD line segment AC ≅ line segment AC line segment AD ≅ line segment DC

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